Question

Susan wants to adopt a kitten from the Humane Society they are currently having a special deal pay five out of seven of the original cost of the kitten plus a fee of $24 for having it microchip Susan spent a total of $89 on her new kitten buttercup what was the original cost of butter cup define a variable rate your equation and solve give all three parts in your answer

Answer 1

The original cost of the butter cup was $91.

Explanation:

Let x be the original price of the kitten butter cup.

Since Susan pays five out of seven of the original cos plus a fee of $24, the total amount she paid is 5x/7 + 24.

Now, this total amount equal the $89 she paid for the kitten butter cup. So,

5x/7 + 24 = 89.

We now solve this equation to find the original cost of the kitten butter cup.

So,

5x/7 + 24 = 89

Collecting like terms, we have

5x/7 = 89 - 24

5x/7 = 65

multiplying both sides by 7, we have

5x = 65 × 7

dividing both sides by 5, we have

x = 65 × 7 ÷ 5

x = 91

So the original cost of the butter cup was $91.